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Remark on Smith’s result on a divisor problem in arithmetic progressions
Published online by Cambridge University Press: 22 January 2016
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Let dk(n) be the number of the factorizations of n into k positive numbers. It is known that the following asymptotic formula holds:
where r and q are co-prime integers with 0 < r < q, Pk is a polynomial of degree k − 1, φ(q) is the Euler function, and Δk(q; r) is the error term. (See Lavrik [3]).
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1985
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